Iterative Solution of Weighted Linear Least Squares Problems
In this report we show that the iterated regularization scheme due to Riley and Golub, sometimes also called the iterated Tikhonov regularization, can be generalized to damped least squares problems where the weights matrix D is not necessarily the ...
Carp Doina +3 more
doaj +1 more source
The Variation of the Salt Concentration at the Discharge of a River into a Saline Water
A plume model is used to describe the variation of the salt concentration at the discharge of a river into a saline water. The integral model of the plume behavior consists of a set of ordinary differential equations derived from conservation of mass ...
Juncu Gheorghe +2 more
doaj +1 more source
A novel interpretation of least squares solution
We show that the well‐known least squares (LS) solution of an overdetermined system of linear equations is a convex combination of all the non‐trivial solutions weighed by the squares of the corresponding denominator determinants of the Cramer′s rule. This Least Squares Decomposition (LSD) gives an alternate statistical interpretation of least squares,
Jack-Kang Chan
wiley +1 more source
On Remotest set and Random controls in Kaczmarz algorithm
In this paper we analyse the Kaczmarz projection algorithm with Remotest set and Random control of projection indices and provide a suficient condition such that each projection index appears infinitely many times during the iterations.
Popa Constantin
doaj +1 more source
Weaker assumptions for convergence of extended block Kaczmarz and Jacobi projection algorithms
Recent developments in the field of image reconstruction have given rise to the use of projective iterative methods, such as Kaczmarz and Jacobi, when solving inconsistent linear least squares problems. In this paper we try to generalize previous results
Carp Doina +2 more
doaj +1 more source
A center of a polytope: An expository review and a parallel implementation
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 2, Page 209-224, 1993.
S. K. Sen, Hongwei Du, D. W. Fausett
wiley +1 more source
Ophthalmic findings in patients with autosomal recessive lamellar ichthyosis due to TGM1 mutations in an isolated population. [PDF]
Macriz-Romero N +6 more
europepmc +1 more source
PEDIATRIC FLEXIBLE VALGUS FLATFOOT CORRECTION BY ARTHROEREISIS. [PDF]
Bittar CK +5 more
europepmc +1 more source
Convergence and stability of the exponential Euler method for semi-linear stochastic delay differential equations. [PDF]
Zhang L.
europepmc +1 more source
Updating QR factorization procedure for solution of linear least squares problem with equality constraints. [PDF]
Zeb S, Yousaf M.
europepmc +1 more source

